Atkin-Lehner |
3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7569b |
Isogeny class |
Conductor |
7569 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760 |
Modular degree for the optimal curve |
Δ |
-19096587 = -1 · 33 · 294 |
Discriminant |
Eigenvalues |
0 3+ 0 -1 0 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,210] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.15003682922 |
L(r)(E,1)/r! |
Ω |
1.7250552438299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121104bn1 7569b2 7569a1 |
Quadratic twists by: -4 -3 29 |